Noncommutators and the number of projective characters of a finite group.

Reynolds, William F.


  • Let ƒ be a 2-cocycle of a finite group G over the multiplicative group of the complex field with trivial action. Schur already knew that the number of irreducible projective characters of G in C for ƒ (or ƒ-characters for short) is less than or equal to the number of conjugacy classes of G. No one seems to have asked whether it is possible to have equality when ƒ is not a coboundary. We show that ... read more
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